{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Data Visualization Crash Course.ipynb",
      "provenance": [],
      "collapsed_sections": [
        "PnrQC2QlmkU1",
        "3MoU_7NMCHN5",
        "fpIOPBnlIQh7",
        "RtEkOdLK5uGi"
      ],
      "authorship_tag": "ABX9TyPpTe0qWlI9ZBhHgwZaN2GS",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Divyanshu-ISM/Petroleum-DS-ML-with-Python/blob/main/Data_Visualization_Crash_Course.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TBNm7gFKmc2u"
      },
      "source": [
        "# Data Visualization : Matplotlib | Seaborn | Plotly\n",
        "\n",
        "> Divyanshu Vyas | Oil & Gas Data Science/Machine Learning."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PnrQC2QlmkU1"
      },
      "source": [
        "# 1. Matplotlib : MATLAB style plotting in Python."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yj7kXISZmq0Z"
      },
      "source": [
        "First We have to import a few libraries to deal with or create data, to visualize. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zw4xDQXqmypK"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "import warnings\n",
        "warnings.filterwarnings('ignore')\n",
        "\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 134,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pHJVVjC8o3v1"
      },
      "source": [
        "## Excercise 1 : Relative Permeability Plots."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lkocr1mzmW_Z"
      },
      "source": [
        "Sw = np.linspace(0,1,100)\n",
        "\n",
        "krw = Sw**3 ; kro = (1-Sw)**3"
      ],
      "execution_count": 206,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "q0K_r-sH151G"
      },
      "source": [
        "We can also customize our Plotting styles : 'default' , 'seaborn' etc."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-A46w2Qs2C1n"
      },
      "source": [
        "plt.style.use('default')"
      ],
      "execution_count": 208,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "ZoADhs8opGr2",
        "outputId": "879518e1-e4f5-4c1c-ffec-f1c4afa70fdd"
      },
      "source": [
        "#Step 1 : Plotting the first plot\n",
        "plt.plot(Sw,krw)\n",
        "\n",
        "#axis twinning\n",
        "\n",
        "#Step 2 : Plotting the second plot\n",
        "plt.plot(Sw,kro)"
      ],
      "execution_count": 137,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f5ebab17d10>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 137
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "3JtUthUJm-R7",
        "outputId": "7fbe1149-4560-46a5-d6e6-2b4833425cc2"
      },
      "source": [
        "#ADDING a GRID\n",
        "\n",
        "#Step 1 : Plotting the first plot\n",
        "plt.plot(Sw,krw,lw=5)\n",
        "\n",
        "#Step 2 : Plotting the second plot\n",
        "plt.plot(Sw,kro,lw=7)\n",
        "\n",
        "#Step 3 : Plotting the Grid\n",
        "plt.grid()\n",
        "\n",
        "\n",
        "#plt.plot(x,y1,x,y2)"
      ],
      "execution_count": 209,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "debqEv-XnvGm"
      },
      "source": [
        "Customizing Our plot with more Details."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "3VKyrGKPnMjt",
        "outputId": "7afc93ef-223b-4e97-88e5-557e9a7b3462"
      },
      "source": [
        "#Labels and Legend. \n",
        "plt.plot(Sw,krw , label='Water Rel-Perm')\n",
        "plt.plot(Sw,kro, label='Oil Rel-Perm')\n",
        "\n",
        "plt.grid()\n",
        "plt.legend()"
      ],
      "execution_count": 210,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f5ec1d9d950>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 210
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 489
        },
        "id": "4zRJoIQloa8E",
        "outputId": "be78cfd3-5cd9-4c7a-bd3a-3602f70dc3c8"
      },
      "source": [
        "#Xlabel , Ylabel & Title\n",
        "plt.plot(Sw,krw , lw = 3,label='Krw')\n",
        "plt.plot(Sw,kro, lw = 3, label='Kro')\n",
        "\n",
        "plt.grid()\n",
        "\n",
        "#Xlabel,Ylabel\n",
        "plt.xlabel('Sw(Fraction)')\n",
        "plt.ylabel('Krw & Kro(Fraction)')\n",
        "plt.legend()\n",
        "\n",
        "#title\n",
        "plt.title('Rel-Perm Plots')\n",
        "\n"
      ],
      "execution_count": 211,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Rel-Perm Plots')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 211
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3KCTBk70pVFf"
      },
      "source": [
        "Scatterplot"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "uwGhsi-6otKV",
        "outputId": "b9a22c97-a5d1-4cc2-b23c-593b8399f70a"
      },
      "source": [
        "# x = np.random.randint(1,100,100)\n",
        "x = np.linspace(1,100,10)\n",
        "# y = np.random.randint(1,20,1000)\n",
        "y = x**2\n",
        "\n",
        "plt.scatter(x,y)\n",
        "plt.plot(x,y,color='red')"
      ],
      "execution_count": 216,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f5ec1a52a90>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 216
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oJ8cZvNSrMij"
      },
      "source": [
        "Histogram & Barplot."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "BVjnPj4HpjT3",
        "outputId": "c7b5b6bb-4327-4994-952d-5a8cd4adeb46"
      },
      "source": [
        "import pandas as pd\n",
        "\n",
        "phi_sst = np.random.normal(loc=25,scale=10,size=100)\n",
        "phi_lst = np.random.normal(10,5,100)\n",
        "df = pd.DataFrame({'S':phi_sst, 'C':phi_lst})\n",
        "\n",
        "plt.hist(df['S'],alpha=0.9,label='S');\n",
        "plt.hist(df['C'],alpha=0.9,label='C');\n",
        "\n",
        "plt.legend()\n",
        "\n",
        "# df.head()"
      ],
      "execution_count": 220,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f5ec24fec90>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 220
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wUefT0u8tgWy"
      },
      "source": [
        "### Seaborn : Good for Statistical plots"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "id": "4YEM81O1q-v1",
        "outputId": "fb870d64-269e-4b64-d302-caad8cd6415f"
      },
      "source": [
        "import seaborn as sns\n",
        "sns.kdeplot(df['C'],color='orange') ; sns.distplot(df['S'],color='green')"
      ],
      "execution_count": 143,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ec0536ad0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 143
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_JFdaZfcs0Hm",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 466
        },
        "outputId": "36aa6ddc-dd76-4447-865e-49dfe79e632a"
      },
      "source": [
        "#Box plot\n",
        "sns.boxplot(df['S'], color='green')\n",
        "sns.boxplot(df['C'], color='Orange')\n",
        "\n",
        "plt.xlabel('Porosities')"
      ],
      "execution_count": 144,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'Porosities')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 144
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Yvs5G4qy-yfB"
      },
      "source": [
        "## Advanced : Creating Multiple Plots on the Same Canvas.\n",
        "\n",
        "> This will be very important when you will be plotting well logs.\n",
        "\n",
        ">> Code Tutorial on plotting Well Logs : https://github.com/Divyanshu-ISM/Machine-Learning-Deep-Learning/blob/main/Kansas%20Well%20Log.ipynb\n",
        "\n",
        "(Datset from : Kaggle/Kansas Well Logs)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "uoiVgZ9iFhHC",
        "outputId": "2ee64b7b-6284-436a-bf2a-2b58f5add42d"
      },
      "source": [
        "fig , ax = plt.subplots(nrows=1, ncols=2)"
      ],
      "execution_count": 223,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Tg_0cpy-7Cgh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "outputId": "b646e808-828f-471b-bdd5-fb2e4386d356"
      },
      "source": [
        "#SUBPLOTS.\n",
        "\n",
        "#Step 1 : Data Creation\n",
        "x = np.linspace(0,25)\n",
        "y1 = x**2 ; y2 = x**3\n",
        "\n",
        "#Step 2 : Subplots. \n",
        "fig , ax = plt.subplots(nrows=1, ncols=2)\n",
        "fig.set_figwidth(12)\n",
        "\n",
        "\n",
        "#Plot 1\n",
        "ax[0].plot(x,y1,'r*-')\n",
        "ax[0].set_title('Power = 2')\n",
        "ax[0].grid()\n",
        "\n",
        "\n",
        "#Plot 2\n",
        "ax[1].plot(x,y2,'k--')\n",
        "ax[1].set_title('Power = 3')\n",
        "ax[1].grid()"
      ],
      "execution_count": 145,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1200x480 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 699
        },
        "id": "-BK6EsUm_P9q",
        "outputId": "7f0ded79-70be-4bec-e63c-e97239e28787"
      },
      "source": [
        "#Step 1 : Data Creation\n",
        "x = np.linspace(0,25)\n",
        "y1 = x**2 ; y2 = x**3\n",
        "y3 = x**4 ; y4 = x**5\n",
        "\n",
        "#Step 2 : Subplots. \n",
        "fig , ax = plt.subplots(nrows=2, ncols=2)\n",
        "fig.set_figwidth(12) ; fig.set_figheight(8)\n",
        "\n",
        "\n",
        "#Plot 1\n",
        "ax[0,0].plot(x,y1,'r*-')\n",
        "ax[0,0].set_title('Power = 2')\n",
        "ax[0,0].grid()\n",
        "\n",
        "\n",
        "#Plot 2\n",
        "ax[0,1].plot(x,y2,'k--')\n",
        "ax[0,1].set_title('Power = 3')\n",
        "ax[0,1].grid()\n",
        "\n",
        "\n",
        "#Plot 3\n",
        "ax[1,0].plot(x,y3,'bv-')\n",
        "ax[1,0].set_title('Power = 4')\n",
        "ax[1,0].grid()\n",
        "\n",
        "#Plot 4\n",
        "ax[1,1].plot(x,y4,'g*-')\n",
        "ax[1,1].set_title('Power = 5')\n",
        "ax[1,1].grid()"
      ],
      "execution_count": 146,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1200x800 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3MoU_7NMCHN5"
      },
      "source": [
        "# 2. SEABORN : Python's Statistical Plotting Library."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U3nlqJQjGTJA"
      },
      "source": [
        "### 1. Distribution plots"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "VX8nQ0ucAxhU",
        "outputId": "5bcd7225-002a-4913-92e2-d539e2b311ae"
      },
      "source": [
        "import seaborn as sns\n",
        "\n",
        "#Seaborn has In-built Datasets you can import. \n",
        "#Let's import a dataset called 'Tips' from a restaurant. \n",
        "\n",
        "df = sns.load_dataset('tips')\n",
        "df.head()"
      ],
      "execution_count": 147,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>total_bill</th>\n",
              "      <th>tip</th>\n",
              "      <th>sex</th>\n",
              "      <th>smoker</th>\n",
              "      <th>day</th>\n",
              "      <th>time</th>\n",
              "      <th>size</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>16.99</td>\n",
              "      <td>1.01</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>10.34</td>\n",
              "      <td>1.66</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>21.01</td>\n",
              "      <td>3.50</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>23.68</td>\n",
              "      <td>3.31</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>24.59</td>\n",
              "      <td>3.61</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   total_bill   tip     sex smoker  day    time  size\n",
              "0       16.99  1.01  Female     No  Sun  Dinner     2\n",
              "1       10.34  1.66    Male     No  Sun  Dinner     3\n",
              "2       21.01  3.50    Male     No  Sun  Dinner     3\n",
              "3       23.68  3.31    Male     No  Sun  Dinner     2\n",
              "4       24.59  3.61  Female     No  Sun  Dinner     4"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 147
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XSOOlM9sHGbx"
      },
      "source": [
        "What if we want to make some inferences about the statistical nature of the 'Total-Bill' that customers pay."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 522
        },
        "id": "sFBE1I1GGruN",
        "outputId": "89e15e90-0b91-4305-ead3-8f809fb47efc"
      },
      "source": [
        "plt.style.use('seaborn')\n",
        "sns.distplot(df['total_bill'])"
      ],
      "execution_count": 148,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ebef02fd0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 148
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 522
        },
        "id": "rYz2oMO7G5P4",
        "outputId": "2a10fdb7-e234-48de-87cb-9605a9e2cc50"
      },
      "source": [
        "mu = np.mean(df['total_bill'])\n",
        "medn = np.percentile(df['total_bill'],50)\n",
        "\n",
        "sns.distplot(df['total_bill'])\n",
        "plt.axvline(mu,color='red',label='Mean')\n",
        "plt.axvline(medn,color='green',label='Median')\n",
        "\n",
        "plt.legend()"
      ],
      "execution_count": 149,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f5ebd5f01d0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 149
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fpIOPBnlIQh7"
      },
      "source": [
        "## 2. Categorical Plots."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "l4Opf03xInj6"
      },
      "source": [
        "### A. Barplots and Countplots."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "suB1Fu5nHXNI",
        "outputId": "2f847832-d77d-46fb-9de4-ea9f33b3b624"
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 150,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>total_bill</th>\n",
              "      <th>tip</th>\n",
              "      <th>sex</th>\n",
              "      <th>smoker</th>\n",
              "      <th>day</th>\n",
              "      <th>time</th>\n",
              "      <th>size</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>16.99</td>\n",
              "      <td>1.01</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>10.34</td>\n",
              "      <td>1.66</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>21.01</td>\n",
              "      <td>3.50</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>23.68</td>\n",
              "      <td>3.31</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>24.59</td>\n",
              "      <td>3.61</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   total_bill   tip     sex smoker  day    time  size\n",
              "0       16.99  1.01  Female     No  Sun  Dinner     2\n",
              "1       10.34  1.66    Male     No  Sun  Dinner     3\n",
              "2       21.01  3.50    Male     No  Sun  Dinner     3\n",
              "3       23.68  3.31    Male     No  Sun  Dinner     2\n",
              "4       24.59  3.61  Female     No  Sun  Dinner     4"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 150
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U6QeVdaOJBZA"
      },
      "source": [
        "What if we want to see how a Continuous variable varies with a Categorical variable."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "id": "D7ZgwN46Iw8u",
        "outputId": "ccb087fa-31ba-404c-cf6a-f2eff9ecc774"
      },
      "source": [
        "sns.barplot(x='sex',y='total_bill',data=df)"
      ],
      "execution_count": 151,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ebd5f8f10>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 151
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4XkWaWbnJyY7"
      },
      "source": [
        "What if we want the counts of M & F."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "id": "T0ISa-ZdI84E",
        "outputId": "7c637b8e-b9f9-475b-ee72-7e0f4181e856"
      },
      "source": [
        "sns.countplot(df['sex'])"
      ],
      "execution_count": 152,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ec31b29d0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 152
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BVkSCbgfJ9JY"
      },
      "source": [
        "### B. Boxplots\n",
        "\n",
        "> Helps plot a continuous y against a categorical x. \n",
        "\n",
        "For example : y = Theatre Ticket sales & x = Day of the Week.\n",
        "\n",
        "> Boxplots also tell about outliers. (+/- 1.5 IQR)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "id": "v5WLGGzWJ4Pn",
        "outputId": "cb805715-d6b8-4e90-a8ae-cda213bc0bfe"
      },
      "source": [
        "sns.boxplot(x=\"day\", y=\"total_bill\", data=df,palette='rainbow')"
      ],
      "execution_count": 153,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ec3f14e90>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 153
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aKcIZ5_6K9O3"
      },
      "source": [
        "### C. REGRESSION Plots"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "8Yvc_230KDEU",
        "outputId": "62034b31-5334-4818-cf40-3c6384cde1c3"
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 154,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>total_bill</th>\n",
              "      <th>tip</th>\n",
              "      <th>sex</th>\n",
              "      <th>smoker</th>\n",
              "      <th>day</th>\n",
              "      <th>time</th>\n",
              "      <th>size</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>16.99</td>\n",
              "      <td>1.01</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>10.34</td>\n",
              "      <td>1.66</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>21.01</td>\n",
              "      <td>3.50</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>23.68</td>\n",
              "      <td>3.31</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>24.59</td>\n",
              "      <td>3.61</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   total_bill   tip     sex smoker  day    time  size\n",
              "0       16.99  1.01  Female     No  Sun  Dinner     2\n",
              "1       10.34  1.66    Male     No  Sun  Dinner     3\n",
              "2       21.01  3.50    Male     No  Sun  Dinner     3\n",
              "3       23.68  3.31    Male     No  Sun  Dinner     2\n",
              "4       24.59  3.61  Female     No  Sun  Dinner     4"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 154
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 501
        },
        "id": "SyzmwK-DLWs2",
        "outputId": "19ddb398-925d-4b03-c2bb-ab70295612b0"
      },
      "source": [
        "plt.scatter(df['total_bill'] , df['tip'])"
      ],
      "execution_count": 155,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f5ebcfdd250>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 155
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Qqb1wRYJLgOW"
      },
      "source": [
        "looks like there's some linear relationship (with a bad R-squared yes)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 543
        },
        "id": "zqcHyMKPLdtc",
        "outputId": "0178b355-6796-4933-f3fc-6a200cf25f97"
      },
      "source": [
        "#1. lmplot\n",
        "\n",
        "sns.lmplot(x='total_bill', y='tip',data=df)"
      ],
      "execution_count": 156,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7f5ebd276cd0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 156
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 500x500 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 543
        },
        "id": "uITiq85KLvgX",
        "outputId": "1e51050f-67f7-4888-c0b8-d57657fe3ec4"
      },
      "source": [
        "# 1.1 lmplot with 'sex' label as well.\n",
        "sns.lmplot(x='total_bill',y='tip',data=df,hue='sex')"
      ],
      "execution_count": 157,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7f5ec1437290>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 157
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 596.5x500 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 543
        },
        "id": "Qyb5IC3UL0La",
        "outputId": "428d21fc-f9f6-4cb3-82a7-708b7374f972"
      },
      "source": [
        "# 3. Lmplot but with different Regressions for each category. \n",
        "sns.lmplot(x='total_bill',y='tip',data=df,col='sex')"
      ],
      "execution_count": 158,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7f5ebd64c410>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 158
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1000x500 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "id": "N19oZxDZMLfe",
        "outputId": "859ca523-7b4b-480d-e3a9-e01dfc21d92a"
      },
      "source": [
        "sns.regplot(df['total_bill'], df['tip'])"
      ],
      "execution_count": 159,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5ec20096d0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 159
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iwyUZ6gzMSj7"
      },
      "source": [
        ""
      ],
      "execution_count": 159,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qMhyw2ER5evl"
      },
      "source": [
        "## Self-Practice : Using Visualizations to do statistical analysis : \n",
        "\n",
        "> https://github.com/Divyanshu-ISM/Machine-Learning-Deep-Learning/blob/main/Uni%20Bi%20Multi%20Variate%20Analysis-IRIS.ipynb"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RZgkZ7SPMhU0"
      },
      "source": [
        "# 3. Plotly : Python's Interactive plotting library. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PgKYY2tHMmb1"
      },
      "source": [
        "import plotly.express as px"
      ],
      "execution_count": 160,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "fNkfrC_VNV-B",
        "outputId": "c30af49f-6cd6-42b3-952a-e69a7d8943c5"
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 161,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>total_bill</th>\n",
              "      <th>tip</th>\n",
              "      <th>sex</th>\n",
              "      <th>smoker</th>\n",
              "      <th>day</th>\n",
              "      <th>time</th>\n",
              "      <th>size</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>16.99</td>\n",
              "      <td>1.01</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>10.34</td>\n",
              "      <td>1.66</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>21.01</td>\n",
              "      <td>3.50</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>23.68</td>\n",
              "      <td>3.31</td>\n",
              "      <td>Male</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>24.59</td>\n",
              "      <td>3.61</td>\n",
              "      <td>Female</td>\n",
              "      <td>No</td>\n",
              "      <td>Sun</td>\n",
              "      <td>Dinner</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   total_bill   tip     sex smoker  day    time  size\n",
              "0       16.99  1.01  Female     No  Sun  Dinner     2\n",
              "1       10.34  1.66    Male     No  Sun  Dinner     3\n",
              "2       21.01  3.50    Male     No  Sun  Dinner     3\n",
              "3       23.68  3.31    Male     No  Sun  Dinner     2\n",
              "4       24.59  3.61  Female     No  Sun  Dinner     4"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 161
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iRLXCa2UN5sX"
      },
      "source": [
        "1. Scatter-Plot"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "id": "V7xVPMxJNgEW",
        "outputId": "43e542a6-4dcb-46f6-fb3c-8f9db597b1c7"
      },
      "source": [
        "px.scatter(x = 'total_bill' , y = 'tip',data_frame=df)"
      ],
      "execution_count": 162,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"e7e91b69-eefc-424e-a781-6bbbc2210817\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"e7e91b69-eefc-424e-a781-6bbbc2210817\")) {\n",
              "                    Plotly.newPlot(\n",
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        "1A. Scatter with Color Codes"
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        "px.scatter(x = 'total_bill' , y = 'tip',color='sex',data_frame=df,)"
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    {
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      "metadata": {
        "id": "-uQHEBJgOMvl"
      },
      "source": [
        "1B. Scatter Plots + Color Codes + Bubble Size"
      ]
    },
    {
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          "height": 542
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        "id": "oNGzTk1yODid",
        "outputId": "2a2a0b79-9ec5-4d7d-a48a-194bd4610d74"
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      "source": [
        "px.scatter(x = 'total_bill' , y = 'tip',color='sex',data_frame=df,size='size')"
      ],
      "execution_count": 164,
      "outputs": [
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              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fwMB1JCBdg3M"
      },
      "source": [
        "## Example : DCA : Exponential Decline."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "L0cFpLYsOYoI"
      },
      "source": [
        "t = np.linspace(1,1000)\n",
        "\n",
        "dates = pd.date_range(start='1/10/2005', end='1/4/2021',periods=len(t))\n",
        "\n",
        "d = dates.year\n",
        "\n",
        "\n",
        "Q0 = 2000 #bbls/d\n",
        "b = 0.05\n",
        "\n",
        "Q = Q0*np.exp(-b*t)"
      ],
      "execution_count": 165,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "_yJV-jUQPzZZ",
        "outputId": "98a1f23b-f566-4ec6-ba0d-d4ced11aff56"
      },
      "source": [
        "df_exp = pd.DataFrame({'t':t, 'Q':Q}, index=dates)\n",
        "df_exp['year'] = d\n",
        "\n",
        "df_exp.head()"
      ],
      "execution_count": 166,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>t</th>\n",
              "      <th>Q</th>\n",
              "      <th>year</th>\n",
              "    </tr>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2005-01-10 00:00:00.000000000</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>1902.458849</td>\n",
              "      <td>2005</td>\n",
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              "    <tr>\n",
              "      <th>2005-05-09 03:25:42.857142858</th>\n",
              "      <td>21.387755</td>\n",
              "      <td>686.437174</td>\n",
              "      <td>2005</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2005-09-05 06:51:25.714285716</th>\n",
              "      <td>41.775510</td>\n",
              "      <td>247.677364</td>\n",
              "      <td>2005</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-01-02 10:17:08.571428576</th>\n",
              "      <td>62.163265</td>\n",
              "      <td>89.365901</td>\n",
              "      <td>2006</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-05-01 13:42:51.428571432</th>\n",
              "      <td>82.551020</td>\n",
              "      <td>32.244627</td>\n",
              "      <td>2006</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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            "text/plain": [
              "                                       t            Q  year\n",
              "2005-01-10 00:00:00.000000000   1.000000  1902.458849  2005\n",
              "2005-05-09 03:25:42.857142858  21.387755   686.437174  2005\n",
              "2005-09-05 06:51:25.714285716  41.775510   247.677364  2005\n",
              "2006-01-02 10:17:08.571428576  62.163265    89.365901  2006\n",
              "2006-05-01 13:42:51.428571432  82.551020    32.244627  2006"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 166
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "doq4hF5NQcpV"
      },
      "source": [
        "fig = px.line(data_frame = df_exp , x='t' , y='Q')"
      ],
      "execution_count": 167,
      "outputs": []
    },
    {
      "cell_type": "code",
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        "colab": {
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        },
        "id": "qEmopNpaQeYx",
        "outputId": "c3778f78-dd3b-4ae1-eb19-1b9cefe47a98"
      },
      "source": [
        "fig.show()"
      ],
      "execution_count": 168,
      "outputs": [
        {
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      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MNChsvEQdsss"
      },
      "source": [
        "Homework Excercise : Plot Exponential (b = 0.05) & Hyperbolic decline(b = 0.005, D = 0.3) in the same plot."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BjkQYuCy3Sog"
      },
      "source": [
        "## Advanced** (Optional) : Animations."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "id": "V-ll80tVRYSo",
        "outputId": "a0d0de7b-52e4-4203-a952-6b3559ac6a19"
      },
      "source": [
        "#Animations\n",
        "\n",
        "gm = px.data.gapminder()\n",
        "\n",
        "gm.head()\n"
      ],
      "execution_count": 172,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
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              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>country</th>\n",
              "      <th>continent</th>\n",
              "      <th>year</th>\n",
              "      <th>lifeExp</th>\n",
              "      <th>pop</th>\n",
              "      <th>gdpPercap</th>\n",
              "      <th>iso_alpha</th>\n",
              "      <th>iso_num</th>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>Afghanistan</td>\n",
              "      <td>Asia</td>\n",
              "      <td>1952</td>\n",
              "      <td>28.801</td>\n",
              "      <td>8425333</td>\n",
              "      <td>779.445314</td>\n",
              "      <td>AFG</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>Afghanistan</td>\n",
              "      <td>Asia</td>\n",
              "      <td>1957</td>\n",
              "      <td>30.332</td>\n",
              "      <td>9240934</td>\n",
              "      <td>820.853030</td>\n",
              "      <td>AFG</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Afghanistan</td>\n",
              "      <td>Asia</td>\n",
              "      <td>1962</td>\n",
              "      <td>31.997</td>\n",
              "      <td>10267083</td>\n",
              "      <td>853.100710</td>\n",
              "      <td>AFG</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>Afghanistan</td>\n",
              "      <td>Asia</td>\n",
              "      <td>1967</td>\n",
              "      <td>34.020</td>\n",
              "      <td>11537966</td>\n",
              "      <td>836.197138</td>\n",
              "      <td>AFG</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Afghanistan</td>\n",
              "      <td>Asia</td>\n",
              "      <td>1972</td>\n",
              "      <td>36.088</td>\n",
              "      <td>13079460</td>\n",
              "      <td>739.981106</td>\n",
              "      <td>AFG</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       country continent  year  ...   gdpPercap  iso_alpha  iso_num\n",
              "0  Afghanistan      Asia  1952  ...  779.445314        AFG        4\n",
              "1  Afghanistan      Asia  1957  ...  820.853030        AFG        4\n",
              "2  Afghanistan      Asia  1962  ...  853.100710        AFG        4\n",
              "3  Afghanistan      Asia  1967  ...  836.197138        AFG        4\n",
              "4  Afghanistan      Asia  1972  ...  739.981106        AFG        4\n",
              "\n",
              "[5 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 172
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
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        "id": "hEW6mrlK3NKV",
        "outputId": "7b6ef86f-0494-44b9-d91d-6d5d4e482741"
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      "source": [
        "px.scatter(gm, x=\"gdpPercap\", y=\"lifeExp\", animation_frame=\"year\",\n",
        "           size=\"pop\", color=\"continent\", hover_name=\"country\",\n",
        "           log_x=True, size_max=55, range_x=[100,100000], range_y=[25,90])\n"
      ],
      "execution_count": 173,
      "outputs": [
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          "output_type": "display_data",
          "data": {
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          "metadata": {
            "tags": []
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        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HmM_jQfUhvOk"
      },
      "source": [
        "#Possible Application : Reservoir Simulation. Showing how P v/s x profile varies with time, as an animation."
      ],
      "execution_count": 171,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ahjw0mkch2dy"
      },
      "source": [
        ""
      ],
      "execution_count": 170,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RtEkOdLK5uGi"
      },
      "source": [
        "# Final Excercise : Radial Flow Profile Example. Impact of Oil Viscosity"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 526
        },
        "id": "ztCb0Q8H5xWZ",
        "outputId": "b087e226-12ab-4302-b91f-f07fac343013"
      },
      "source": [
        "rw = 0.5 #ft \n",
        "re = 2000 #ft\n",
        "\n",
        "r = np.linspace(rw,re,1000)\n",
        "\n",
        "Pe = 5000 \n",
        "\n",
        "mu1 = 0.5 #cp \n",
        "mu2 = 10 #cp \n",
        "\n",
        "k = 1000 #mD \n",
        "h = 50 #ft\n",
        "\n",
        "q = 1000 #bbl/d\n",
        "\n",
        "B = 1\n",
        "\n",
        "m = (141.2*q*mu1*B/k/h)\n",
        "\n",
        "Pr1 = Pe - m*(np.log(re/r))\n",
        "\n",
        "\n",
        "plt.plot(r,Pr1)\n",
        "plt.xlabel('r(ft') ; plt.ylabel('P(r), psi')\n",
        "\n",
        "Pwf1 = Pr1[0]\n",
        "\n",
        "plt.axhline(Pwf1 , c='red')\n",
        "plt.xlim(rw,re) ; plt.ylim(Pwf1-20, Pe)"
      ],
      "execution_count": 202,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(4968.288801908176, 5000.0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 202
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DqRS2GLMu79VN/ZMTdEVyN/XvlaC+PeNlY7QYAABEAWEZF5W7wat9B8tU9K8y/ePwaf3j8GnV1p/74juzyaR+l8VrQB+nBvR26qreTvXu6ZDFzNxiAADQMRCW8bXUuT364lC59h0q15eHT+vAsUp5vOd+Et1l3WODoXhAH6cuT+7G/GIAANChEZYRFo/Xp6+OVmjvP0u1919lOnC04pxPvDObTLoiJUGD+nXXoH4uDerXXc54btEGAAA6F8Iyzsvv9+vQySrt/WeZ9v6rVP84dFr1DS0f9GGLMWtg3+4acc1l6n9ZvK5ITlCsjV8vAADQuZFm0EK926u9/yrVp/tL9On+knPeqcJiNunqvi4NuTJRQ65I0pW9uynWblViYrzKyqrl8Zx7KgYAAEBnQliGJKm4vFYff1msT/eXqOhgeYt5xyZJ/ZMTNOTKJA25IlGD+nWX3cZ8YwAAcGkjLHdhx0tr9NG+k/pb0Sn960Rli/3xsVYNv6qHrru6h4YOSOKx0AAAoMshLHcxR4qr9beik/po30kdPlXdYn+/yxL0jYGBgHx1H5fMZlMUqgQAAOgYCMtdwOmqen2w94R2fn5cB09WhewzSRrUz6XRqb006prL1MMVG50iAQAAOiDC8iWqvsGr3V+c0vufH9eef5bK3+zubiaTdO3libo+9TKNuuYyuRLs0SsUAACgAyMsX2KOnKrSnz4+qvc/P97iyXlX9XHqpqEpGjO4l5zMPwYAALggwvIloMHj1d+KTulPHx/RPw6fDtnX0xWrm4am6KZhKUpJckSpQgAAgM6JsNyJVdU26I9/P6z3PjqsipqG4HaL2aTrr+2lb47oo2v6d5fJxEV6AAAAkSAsd0Iny2r0h12HtP3TY3I3e/hHr8Q43TKij24e3ptpFgAAABcBYbkTOVZSrbztB7Sr8KSaXa+nIVcmauINl2vogCSZGUUGAAC4aAjLncCJshpt2v5PfbD3ePCuFhazSTcM7qWJN1yuy5O7RbdAAACASxRhuQMrr6rXb//ylXZ8dly+xpRstZh1y4g+ui3tciU5uScyAABAWyIsd0ANHq/e+fCQfrfzX6pv8EoKjCRnjOijyTdeQUgGAABoJ4TlDuajfae04b1/qKSiTlLgCXs3D++t29OvVE9XXHSLAwAA6GIIyx1EWWW9Xn/3C/39i1PBbdf0767vjB+kK1KYkwwAABANhOUo8/v92vbpMW0s+DL4xL0kp13Ztw7S6NTLuEcyAABAFBGWo6ii2q2fbynUp/tLJAWmXNw6up+mZlylODv/0wAAAEQbiSxK9vyzVKs379XparckqXcPh+6ZNFgD+7qiXBkAAACaEJbbmc/v16btB7R5xz+DDxb5t+v76dvfvFoxVktUawMAAEAownI7qnd7tfp3e/XRvsBFfAlxMbp38mCNGNgzypUBAADgXAjL7aS0ok7L3/xUB09WSZKuTOmmB6cO557JAAAAHZg52gU0WbJkiVJTU4Pr+fn5ysrK0ogRIzR58mRt3749uK+qqkoLFixQRkaGRo4cqQcffFClpaXB/ampqRo2bJiGDx8efC1cuLBdz6e5YyXVWrz+o2BQvmFwL83991EEZQAAgA6uQ4wsFxYWKi8vL7i+a9cu5ebmatmyZbrlllu0bds25eTkaPPmzerTp4+WLFmivXv36vXXX1diYqIWL16suXPn6tVXXw1+x9tvv61+/fpF43RC/Ot4pV5442NV1jRIku4cN0BZY6/klnAAAACdQNRHln0+n+bPn6+ZM2cGtxUUFGjMmDGaMGGCbDabxo8fr/T0dG3evDm4/5577lH//v2VkJCgefPmafv27Tpx4kSUzuLc/nW8Us/+v92qrGmQSdJ//p9U3X7zAIIyAABAJxH1keUNGzbIbrcrKytLy5YtC24/O1C6XC4VFhaec39cXJxiYmJUVFSk5ORkSdLzzz+v3bt3q6qqSrfddpvmzp2r+Pj4VtdlNptkNkceao8WV+uFNz5Wbb1HFrNJ/98dQ3Xj0JSIv68zsFjMIe+4MHoWGfoWPnoWGfoWPnoWGfoWvvbqVVTDcnFxsVasWKH169eHbM/MzNTatWu1detWZWRk6JNPPlFBQYEGDRoU3L9mzRqNGjVKSUlJ+tnPfia/36/Tp09LkkaMGKGxY8fqmWee0aFDhzRr1iw99dRTevbZZ1tdW1JSfMQjwCfLavSTDYGpFyaTNOffR2vciL4RfVdn5HTGRbuEToeeRYa+hY+eRYa+hY+eRYa+dTwmv9/vv/BhbWPOnDlKSUnRo48+qsOHD2v8+PHat2+fpMCI82uvvabi4mKlp6erf//+Kioq0urVq3X69GktXrxYf/nLXxQbG6t77rlHb7zxhn74wx9q0qRJLX7On//8Z/3gBz/Qxx9/LJvN1qraSkqqIhpZrq33aOEvdunwqWpJ0j2TrlXmqOjPnW4PFotZTmecKipq5fX6ol1Op0DPIkPfwkfPIkPfwkfPIkPfwtfUs7YWtZHlnTt3avfu3crPzz/n/uzsbGVnZwfXFy5cGJxi4XK5QkaJ/X6/XnzxRfXq1euc39WvXz95vV6VlJSod+/erarP5/PL5wvv3yN8fr9+lrcnGJSnZlylcdf1kcfTtX7pvV5flzvnr4ueRYa+hY+eRYa+hY+eRYa+dTxRmxizadMmlZSUKDMzU2lpaZo6daokKS0tTXl5eS1C9I4dOzRy5EhJgbtlfPrpp8F9H3/8sbxer4YMGaK9e/fq6aefDvns/v37ZbPZDMP0xfK7nf/S378IPHDkpqHJmnzTFW368wAAANC2ojayPHfuXOXk5ATXjx8/rhkzZigvL0/l5eWaNm2aHA6HMjIytGrVKtXW1ganWHzwwQd6++23tXbtWplMJi1ZskTZ2dlyOBzq0aOHNm7cqKSkJM2cOVNHjhzRiy++qBkzZshiabvHSX955LTyth2QFHjgyH/+n2u56wUAAEAnF7Ww7HK55HK5gusej0eSlJKSopSUFC1evFiLFi1SSUmJhg4dqtWrV8vhcEiS7rvvPh08eFATJ06U1WrVlClTNGfOHElScnKyXn31VT3//PP6n//5H9lsNt11112aPXt2m51Lbb1Hr27aI5/fr1ibRT+4c5hsMW0XzAEAANA+onqBX0d26lRlq49d984+/Wn3EUnS/50yRDcNu7RvEWfEajUrMTFeZWXVzLdqJXoWGfoWPnoWGfoWPnoWGfoWvqaetTVu5vc17T96Wn9uDMrXX9urywZlAACASxFh+Wvw+nxa//Y++SXF2S367r8NinZJAAAAuIgIy1/Dtk+O6eDJKknS1Iyr1T3BHuWKAAAAcDERliPkbvBq047A3S/6XZagzJFd5wl9AAAAXQVhOUJ/+vioyqvckgIPH4nkaX8AAADo2AjLEah3e7Vl5z8lSQN6O/WNgT2iWg8AAADaBmE5Ats/O6aKmgZJgVFlHj4CAABwaSIsh8nn92vr3w5Jkq5I7qYhVyZGuSIAAAC0FcJymD7/qlQnymolSRPG9GNUGQAA4BJGWA7Ttk+OSpKcjhiNuTY5ytUAAACgLRGWw1BV26CPvyyWJN00LEUxVtoHAABwKSPtheHDwhPy+vySpJuH9Y5yNQAAAGhrhOUw/HXvCUlS/14J6tcrIcrVAAAAoK0RllupssatL4+cliSNubZXlKsBAABAeyAst9Kn+0vkD8zA0IhBPaNbDAAAANoFYbmVmi7s6+mKVd+e8VGuBgAAAO2BsNwKXp9Pnx8olSSNGNiTeysDAAB0EYTlVjh4okr1bq8kaciApChXAwAAgPZCWG6FfxwqlySZJA3q54puMQAAAGg3hOVW+OJw4C4YfS+LV3xsTJSrAQAAQHshLF+A3+/XPw4HRpYH9ese5WoAAADQngjLF3C8tEaVNQ2SpEH9mYIBAADQlRCWL+DQyarg8lW9nVGsBAAAAO2NsHwBR05VS5JsMWb17B4X5WoAAADQngjLF3C0OBCW+/SIl5n7KwMAAHQphOULONwYlvtexlP7AAAAuhrC8nk0eLw6WVYjSerbMyHK1QAAAKC9EZbP41hJjfz+wDIjywAAAF0PYfk8mi7uk6S+PQnLAAAAXQ1h+TxONE7BsNssSuxmj3I1AAAAaG+E5fMoPl0nSerpipWJO2EAAAB0OYTl8yhpCsvO2ChXAgAAgGggLJ9H08hyDxdhGQAAoCsiLBvw+nwqq6yXJPV08eQ+AACAroiwbOB0lVu+xvvGJTm5uA8AAKArIiwbqKxpCC674m1RrAQAAADRQlg2cLraHVx2EpYBAAC6JMKygQrCMgAAQJdHWDZQURMIy1aLSQ67NcrVAAAAIBoIywaaRpa7OWw8kAQAAKCLIiwbaBpZdjqYggEAANBVEZYNVDXeDaObIybKlQAAACBaCMsGat0eSVIc85UBAAC6LMKygbp6ryQpzm6JciUAAACIFsKygZp6RpYBAAC6OsKygbqmaRg2wjIAAEBXRVg20DQNI5aRZQAAgC6LsGzA3/jOnGUAAICui7B8AUzDAAAA6LoIyxfABX4AAABdF2H5AmKZhgEAANBlEZYvwMHIMgAAQJdFWL4AewwjywAAAF0VYfkCLBZaBAAA0FWRBC/AajFFuwQAAABECWH5AixmwjIAAEBX1WHC8pIlS5Samhpcz8/PV1ZWlkaMGKHJkydr+/btwX1VVVVasGCBMjIyNHLkSD344IMqLS0N7j9y5Ijuu+8+paWlKTMzU88995x8Pl9EdVnMHaZFAAAAaGcdIgkWFhYqLy8vuL5r1y7l5ubqoYce0ocffqiHH35YOTk5Onr0qKRAsP773/+u119/Xdu2bVO3bt00d+7c4Of/+7//W8nJydq6datee+01bd26VWvXro2oNgvTMAAAALqsqIdln8+n+fPna+bMmcFtBQUFGjNmjCZMmCCbzabx48crPT1dmzdvDu6/55571L9/fyUkJGjevHnavn27Tpw4oc8++0xFRUV65JFH1K1bN1155ZWaOXOmNm7cGHZtZpNJZhNhGQAAoKuK+k2EN2zYILvdrqysLC1btiy43XRWSHW5XCosLDzn/ri4OMXExKioqEjHjh1T37595XK5gvuHDh2qAwcOqKqqSgkJCa2uzWIxyWqN+r9PdBpNdw7hDiKtR88iQ9/CR88iQ9/CR88iQ9/C1169impYLi4u1ooVK7R+/fqQ7ZmZmVq7dq22bt2qjIwMffLJJyooKNCgQYOC+9esWaNRo0YpKSlJP/vZz+T3+3X69GmVl5fL6XSGfF9TcC4rKwsrLFstZiUmxn/Ns+x6nM64aJfQ6dCzyNC38NGzyNC38NGzyNC3jieqYXnp0qWaOnWqBg4cqMOHDwe333DDDXryySf13HPPKTc3V+np6brzzjtVVFQkSZo7d64WL16s6dOnKzY2Njglw2oNnI7f778o9ZnNJpWVVV+U7+oKLBaznM44VVTUyuuN7ILKroaeRYa+hY+eRYa+hY+eRYa+ha+pZ20tamF5586d2r17t/Lz88+5Pzs7W9nZ2cH1hQsXKjk5WVJgpPjZZ58N7vP7/XrxxRfVq1cvVVVVqby8POS7ysvLZTKZlJSUFFaNVrNJHg+/sOHyen30LUz0LDL0LXz0LDL0LXz0LDL0reOJWljetGmTSkpKlJmZKenMaHBaWpoef/xxWSwWTZkyJXj8jh079P3vf19S4G4Zdrtd1113nSTp448/ltfr1ZAhQ+RwOHTs2DGVlpYGw/Fnn32mgQMHKj4+vCkV3AkDAACga4taWJ47d65ycnKC68ePH9eMGTOUl5en8vJyTZs2TQ6HQxkZGVq1apVqa2s1adIkSdIHH3ygt99+W2vXrpXJZNKSJUuUnZ0th8OhIUOGaPjw4Xr++ef12GOP6cSJE3rttdd07733hl0jDyQBAADo2qIWll0uV8gdKzwejyQpJSVFKSkpWrx4sRYtWqSSkhINHTpUq1evlsPhkCTdd999OnjwoCZOnCir1aopU6Zozpw5we9avny5nnjiCd18881KSEhQdna2vvvd74ZdIw8kAQAA6Nqifuu4Jv369dO+ffuC63feeafuvPPOcx5rt9v13HPPGX5XSkqKVq1a9bVrYhoGAABA16oM17gAACAASURBVMbQ6XlYGVkGAADo0kiD58HIMgAAQNdGWD4PLvADAADo2gjL50FYBgAA6NoIy+dh5fnsAAAAXRpp8DwYWQYAAOjaCMvnYWFkGQAAoEsjDZ4HI8sAAABdG2H5PKzcOg4AAKBLIyyfB4+7BgAA6NpIg+fBQ0kAAAC6NsLyeTBnGQAAoGsjLJ8H91kGAADo2kiD58HIMgAAQNdmjXYBHdU1x75Q7/0VsjrLol1Kp2GxmCVnnCwVtZLXF+1yOgV6Fhn6Fj56Fhn6Fj56Fhn6Fj6LxSxN+Gab/xyT3+/3t/lP6YxMjCoDAAB0aO0QY5mGAQAAABhgGoaBst+/F+0SOh2LxSynM04VFbXy8p+QWoWeRYa+hY+eRYa+hY+eRYa+hc9iMcvZDj+HsGzAM3pMtEvofKxmKTFe3rJqeTz8obcKPYsMfQsfPYsMfQsfPYsMfQuftX0mSDANAwAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA4RlAAAAwABhGQAAADBAWAYAAAAMEJYBAAAAA9bWHPTmm29q+vTpkqSNGzcaHmcymXT33XdfnMoAAACAKGtVWF6wYEEwLM+fP9/wOMIyAAAALiWtCsuffvppcLmoqKjNigEAAAA6kojmLO/fvz+4fOzYMf3iF7/Qtm3bLlpRAAAAQEcQdlj+9a9/rW9/+9uSpKqqKs2YMUOvv/66HnnkEb3++usXvUAAAAAgWsIOy6+99ppeeuklSdLvfvc7xcXFacuWLfr5z3+uX/3qVxe9QAAAACBawg7Lx44d09ixYyVJ27dv16RJkxQTE6OhQ4fq2LFjF71AAAAAIFrCDssOh0NVVVVyu9368MMPdfPNN0sKTMmwWCwXvUAAAAAgWlp1N4zmxo4dq5ycHFksFnXr1k2jR4+Wx+PRypUrNXz48LaoEQAAAIiKsEeWn3jiCfXr108JCQlauXKlTCaTamtrVVBQoHnz5kVcyJIlS5Samhpcz8/PV1ZWlkaMGKHJkydr+/btwX11dXVasGCBMjIyNGrUKH3729/W+++/H9x/6623atiwYRo+fHjwdf/990dcGwAAALqmsEeWnU6nnnrqqZBt3bp10zvvvBNxEYWFhcrLywuu79q1S7m5uVq2bJluueUWbdu2TTk5Odq8ebP69Omj5cuX629/+5veeOMN9ezZU2+88YYeeOABvffee+rRo4ckac2aNUpLS4u4JgAAACCi+yy/+eabuu+++5SVlaU77rhD999/vzZt2hRRAT6fT/Pnz9fMmTOD2woKCjRmzBhNmDBBNptN48ePV3p6ujZv3ixJ2rNnj8aNG6eUlBRZrVZNmzZNtbW1OnDgQEQ1AAAAAOcSdlh+4YUXtGDBApnNZt14440aM2aM/H6/fvSjHwVvKReODRs2yG63KysrK2S7yWQKWXe5XCosLJQkZWZmqqCgQAcPHlR9fb3efPNN9erVS0OGDAkev27dOv3bv/2bRo4cqYceekglJSVh1wYAAICuLexpGBs3btTLL7+s9PT0kO1/+ctf9Oijj+rBBx9s9XcVFxdrxYoVWr9+fcj2zMxMrV27Vlu3blVGRoY++eQTFRQUaNCgQZKkmTNnqrCwUBMmTJAkde/eXStXrpTD4ZAkDR48WNddd52effZZVVRUKDc3Vzk5OfrlL3/Z6trMZpPMZtOFD0SQxWIOeceF0bPI0Lfw0bPI0Lfw0bPI0LfwtVevTH6/3x/OB0aOHKmPPvpIZnNogR6PRzfccIP+/ve/t/q75syZo5SUFD366KM6fPiwxo8fr3379kkKjDi/9tprKi4uVnp6uvr376+ioiKtXr1aL7/8st555x399Kc/Ve/evbVlyxYtXbpUmzZtUp8+fVr8nP3792vSpEl69913dfnll7eqNr/f32J0GwAAAF1LRLeO++tf/6qbbropZPtHH30UfFhJa+zcuVO7d+9Wfn7+OfdnZ2crOzs7uL5w4UIlJydLktavX6/HH39cV111lSRp2rRpWr9+vd555x3dc889Lb6rb9++kqSTJ0+2OiyXllYzshwmi8UspzNOFRW18np90S6nU6BnkaFv4aNnkaFv4aNnkaFv4WvqWVsLOyynpaUpNzdXmZmZGjhwoLxerw4cOKA//vGP+vd//3dt3LhRUmDO8d133234PZs2bVJJSYkyMzMlBUZym77/8ccfl8Vi0ZQpU4LH79ixQ9///vclBS4K9Hq9Id/ndrslSUeOHNGrr76qefPmyWazSQqMLEtS//79W32ePp9fPl9Yg+5o5PX65PHwhx4OehYZ+hY+ehYZ+hY+ehYZ+tbxhB2WlyxZIknBUNzcT3/60+DyhcLy3LlzlZOTE1w/fvy4ZsyYoby8PJWXl2vatGlyOBzKyMjQqlWrVFtbq0mTJkkK3Ed57dq1Gj16tJKTk7VlyxYdPHhQt9xyi3r06KGCggJZLBY98sgjqqys1NKlS5WZmRkcmQYAAABaI+ywXFRUdFF+sMvlksvlCq57PB5JUkpKilJSUrR48WItWrRIJSUlGjp0qFavXh28gG/evHl64YUX9L3vfU+VlZUaMGCAVq5cGZyWsXr1aj399NPKyMiQJE2YMEGPPfbYRakbAAAAXUfYF/h1FadOVUa7hE7HajUrMTFeZWXV/CekVqJnkaFv4aNnkaFv4aNnkaFv4WvqWVvj/iQAAACAAcIyAAAAYICwDAAAABggLAMAAAAGwr4bhpHf//73qqqqksvl0vXXX6+kpKSL9dUAAABAVFy0keXly5frySef1OHDh/Xggw9erK8FAAAAouaijiw3uffeey/W1wIAAABRw5xlAAAAwEDYI8unT5/Wjh07VFRUpNLSUklSYmKiBg8erJtvvjnkqXwAAABAZ9bqsHzq1CmtWLFCv/nNb+Tz+dS7d+/gRXylpaVas2aNzGazpk6dqgcffFC9evVqs6IBAACA9tCqsPzXv/5Vs2bN0hVXXKGf/OQnGjt2rJxOZ8gxFRUV2rFjh9atW6fbb79dL774otLS0tqkaAAAAKA9tCosz5o1S0899ZS+9a1vGR7jdDp122236bbbbtO7776rhx9+WDt27LhohQIAAADtrVVh+c0331Tfvn0lSZ9//rmGDRt23uMnTJigIUOGfP3qAAAAgChq1d0wmoKyJP3Hf/yHvF5vWJ8BAAAAOqOwbx03adIk/eIXv5Df72+LegAAAIAOI+xbx5WVlemPf/yjVq1apT59+shms4Xs37Bhw0UrDgAAAIimsMOy0+lURkZGW9QCAAAAdCitCstutzs4grx06dJWfXHzzwAAAACdUavmLM+YMUOHDh1q9ZceOnRI2dnZERcFAAAAdAStCsu33Xab7rjjDj399NM6cuSI4XHHjh3TM888ozvvvFO33XbbRSsSAAAAiIZWTcO47777dN111+npp5/W2rVrddVVV2nw4MFKTEyUFLjor6ioSPv379c111yjl156STfddFObFg4AAAC0tVZf4HfjjTfqf//3f/WXv/xF27ZtU1FRkQoLCyVJSUlJuvHGG5Wbm6tx48a1WbEAAABAewr7bhgZGRncDQMAAABdQlhhuaqqSrt375bVatXo0aO52wUAAAAuaa0OywcOHNB3v/tdlZWVSZKuuuoq/fznP1dKSkqbFQcAAABEU6sfd718+XJdf/31+tOf/qR3331Xl19+uV588cW2rA0AAACIqlaPLL///vvKy8sLjiT/6Ec/0n/+53+2WWEAAABAtLV6ZLm2tjZkykW/fv1UXFzcJkUBAAAAHUGrw7LJZGrLOgAAAIAOp9VhGQAAAOhqWj1nuaGhQXPmzLngtueff/7iVAYAAABEWavD8ujRo3Xy5MkLbgMAAAAuFa0Oy+vXr2/LOgAAAIAOhznLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAY6DBhecmSJUpNTQ2u5+fnKysrSyNGjNDkyZO1ffv24L66ujotWLBAGRkZGjVqlL797W/r/fffD+4vLy/XrFmzNHbsWKWnp2vevHmqq6tr1/MBAABA59chwnJhYaHy8vKC67t27VJubq4eeughffjhh3r44YeVk5Ojo0ePSpKWL1+uv/3tb3rjjTf04Ycf6q677tIDDzygkpISSdITTzyh2tpa5efn66233tL+/fv1k5/8JCrnBgAAgM4r6mHZ5/Np/vz5mjlzZnBbQUGBxowZowkTJshms2n8+PFKT0/X5s2bJUl79uzRuHHjlJKSIqvVqmnTpqm2tlYHDhxQcXGxtm7dqtmzZyspKUnJycl64IEH9NZbb6mhoSFKZwkAAIDOyBrtAjZs2CC73a6srCwtW7YsuN1kMoUc53K5VFhYKEnKzMzUxo0bNWPGDCUnJ+vNN99Ur169NGTIEH300UeyWCwhUzqGDh2qmpoaffXVVyHbz8dsNslsNl34QARZLOaQd1wYPYsMfQsfPYsMfQsfPYsMfQtfe/UqqmG5uLhYK1as0Pr160O2Z2Zmau3atdq6dasyMjL0ySefqKCgQIMGDZIkzZw5U4WFhZowYYIkqXv37lq5cqUcDofKy8uVkJAQErZdLpckqaysrNW1JSXFtwjsaB2nMy7aJXQ69Cwy9C189Cwy9C189Cwy9K3jiWpYXrp0qaZOnaqBAwfq8OHDwe033HCDnnzyST333HPKzc1Venq67rzzThUVFUmSXn75ZRUVFen3v/+9evfurS1btuj+++/Xpk2bJEl+v/9r11ZaWs3IcpgsFrOczjhVVNTK6/VFu5xOgZ5Fhr6Fj55Fhr6Fj55Fhr6Fr6lnbS1qYXnnzp3avXu38vPzz7k/Oztb2dnZwfWFCxcqOTlZkrR+/Xo9/vjjuuqqqyRJ06ZN0/r16/XOO+/ommuuUVVVlbxerywWi6TA3TEkqUePHq2uz+fzy+f7+qG7K/J6ffJ4+EMPBz2LDH0LHz2LDH0LHz2LDH3reKI2MWbTpk0qKSlRZmam0tLSNHXqVElSWlqa8vLyWoToHTt2aOTIkZICFwV6vd6Q/W63W5I0ePBg+f3+4Ci0JH322WdyOp0aMGBAW54SAAAALjFRG1meO3eucnJyguvHjx/XjBkzlJeXp/Lyck2bNk0Oh0MZGRlatWqVamtrNWnSJEnSrbfeqrVr12r06NFKTk7Wli1bdPDgQd1yyy1KSkrSxIkTtWzZMj3zzDNyu91auXKlpk+fLqs16tczAgAAoBOJWnp0uVzBC+8kyePxSJJSUlKUkpKixYsXa9GiRSopKdHQoUO1evVqORwOSdK8efP0wgsv6Hvf+54qKys1YMAArVy5MjgtY8GCBZo/f77Gjx+vmJgYTZkyRbNnz27/kwQAAECnZvJfjKvhLkGnTlVGu4ROx2o1KzExXmVl1cy3aiV6Fhn6Fj56Fhn6Fj56Fhn6Fr6mnrU1buYHAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABggLAMAAAAGCAsAwAAAAYIywAAAIABwjIAAABgoMOE5SVLlig1NTW4np+fr6ysLI0YMUKTJ0/W9u3bg/smTpyo4cOHh7yuvfZa/fa3v5Uk3XrrrRo2bFjI/vvvv7/dzwkAAACdmzXaBUhSYWGh8vLyguu7du1Sbm6uli1bpltuuUXbtm1TTk6ONm/erD59+uidd94J+fyhQ4c0Y8YMjRs3LrhtzZo1SktLa7dzAAAAwKUn6iPLPp9P8+fP18yZM4PbCgoKNGbMGE2YMEE2m03jx49Xenq6Nm/efM7vWLx4se6991717NmznaoGAABAVxD1keUNGzbIbrcrKytLy5YtC243mUwhx7lcLhUWFrb4/AcffKDCwkItX748ZPu6des0b948lZSUaNy4cZo/f7569OjR6rrMZpPMZtOFD0SQxWIOeceF0bPI0Lfw0bPI0Lfw0bPI0LfwtVevohqWi4uLtWLFCq1fvz5ke2ZmptauXautW7cqIyNDn3zyiQoKCjRo0KAW3/HKK6/onnvukc1mC24bPHiwrrvuOj377LOqqKhQbm6ucnJy9Mtf/rLVtSUlxbcI7GgdpzMu2iV0OvQsMvQtfPQsMvQtfPQsMvSt4zH5/X5/tH74nDlzlJKSokcffVSHDx/W+PHjtW/fPkmBEefXXntNxcXFSk9PV//+/VVUVKTVq1cHP//FF1/o7rvv1vvvvy+Hw2H4c/bv369Jkybp3Xff1eWXX96q2kpKqhhZDpPFYpbTGaeKilp5vb5ol9Mp0LPI0Lfw0bPI0Lfw0bPI0LfwNfWsrUVtZHnnzp3avXu38vPzz7k/Oztb2dnZwfWFCxcqOTk55Ji3335bN95443mDsiT17dtXknTy5MlWh2Wfzy+fL2r/HtGpeb0+eTz8oYeDnkWGvoWPnkWGvoWPnkWGvnU8UZsYs2nTJpWUlCgzM1NpaWmaOnWqJCktLU15eXktQvSOHTs0cuTIkG3vvfeebr755pBtR44c0fz58+V2u4Pb9u/fL0nq379/W5wKAAAALlFRG1meO3eucnJyguvHjx/XjBkzlJeXp/Lyck2bNk0Oh0MZGRlatWqVamtrNWnSpODxbrdbX375pfr16xfyvT169FBBQYEsFoseeeQRVVZWaunSpcrMzGwxMg0AAACcT9TCssvlksvlCq57PB5JUkpKilJSUrR48WItWrRIJSUlGjp0qFavXh0y3aK8vFwej6fF7eJiY2O1evVqPf3008rIyJAkTZgwQY899lg7nBUAAAAuJVG9wK8jO3WqMtoldDpWq1mJifEqK6tmvlUr0bPI0Lfw0bPI0Lfw0bPI0LfwNfWsrXEzPwAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAMdJiwvWbJEqampwfX8/HxlZWVpxIgRmjx5srZv3x7cN3HiRA0fPjzkde211+q3v/2tJKm8vFyzZs3S2LFjlZ6ernnz5qmurq7dzwkAAACdW4cIy4WFhcrLywuu79q1S7m5uXrooYf04Ycf6uGHH1ZOTo6OHj0qSXrnnXf02WefBV9btmxRUlKSxo0bJ0l64oknVFtbq/z8fL311lvav3+/fvKTn0Tl3AAAANB5RT0s+3w+zZ8/XzNnzgxuKygo0JgxYzRhwgTZbDaNHz9e6enp2rx58zm/Y/Hixbr33nvVs2dPFRcXa+vWrZo9e7aSkpKUnJysBx54QG+99ZYaGhra6awAAABwKbBGu4ANGzbIbrcrKytLy5YtC243mUwhx7lcLhUWFrb4/AcffKDCwkItX75cUmCU2mKxhEzpGDp0qGpqavTVV1+FbD8fs9kks9l04QMRZLGYQ95xYfQsMvQtfPQsMvQtfPQsMvQtfO3Vq6iG5eLiYq1YsULr168P2Z6Zmam1a9dq69atysjI0CeffKKCggINGjSoxXe88soruueee2Sz2SQF5isnJCSEhG2XyyVJKisra3VtSUnxLQI7WsfpjIt2CZ0OPYsMfQsfPYsMfQsfPYsMfet4ohqWly5dqqlTp2rgwIE6fPhwcPsNN9ygJ598Us8995xyc3OVnp6uO++8U0VFRSGf/+KLL/Txxx/r5ZdfDtnu9/u/dm2lpdWMLIfJYjHL6YxTRUWtvF5ftMvpFOhZZOhb+OhZZOhb+OhZZOhb+Jp61taiFpZ37typ3bt3Kz8//5z7s7OzlZ2dHVxfuHChkpOTQ455++23deONN8rhcAS3JSUlqaqqSl6vVxaLRVJgtFmSevTo0er6fD6/fL6vH7q7Iq/XJ4+HP/Rw0LPI0Lfw0bPI0Lfw0bPI0LeOJ2oTYzZt2qSSkhJlZmYqLS1NU6dOlSSlpaUpLy+vRYjesWOHRo4cGbLtvffe08033xyybfDgwfL7/SGj0J999pmcTqcGDBjQRmcDAACAS1HURpbnzp2rnJyc4Prx48c1Y8YM5eXlqby8XNOmTZPD4VBGRoZWrVql2tpaTZo0KXi82+3Wl19+qX79+oV8b1JSkiZOnKhly5bpmWeekdvt1sqVKzV9+nRZrVG/nhEAAACdSNTSo8vlCl54J0kej0eSlJKSopSUFC1evFiLFi1SSUmJhg4dqtWrV4dMtygvL5fH41HPnj1bfPeCBQs0f/58jR8/XjExMZoyZYpmz57d9icFAACAS4rJfzGuhrsEnTpVGe0SOh2r1azExHiVlVUz36qV6Flk6Fv46Flk6Fv46Flk6Fv4mnrW1riZHwAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAHCMgAAAGCAsAwAAAAYICwDAAAABgjLAAAAgAGT3+/3R7sIAAAAoCNiZBkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCWAQAAAAOEZQAAAMAAYRkAAAAwQFgGAAAADBCW0SpHjhzRD3/4Q6WlpWns2LGaO3euKioqdPjwYaWmpmr48OEhrzVr1gQ/u2XLFmVlZWnkyJGaOnWqtm/fHsUzaT+pqakaNmxYSF8WLlwoSdq5c6emT5+uUaNGafLkydq0aVPIZ9etW6eJEydq1KhR+s53vqPPP/88GqfQ7nbt2tXid2nYsGFKTU3VX//613P+rv3+978Pfr4r9W3btm0aO3asZs+e3WLf+f7mfD6ffvrTn2r8+PEaM2aM/uu//kuHDh0K7i8vL9esWbM0duxYpaena968eaqrq2uXc2pr5+vZH/7wB91+++0aOXKkJk6cqDfeeCO4b8WKFRo8eHCL373i4mJJUn19vZ588kllZGQoLS1NDz30kMrKytrtvNqaUd9+85vf6Nprr23Rl08//VQSv2vn6tmPfvSjFv0aMmSIHnvsMUnS3LlzNWTIkJD9119/ffDzl3LPjHKGJBUWFup73/ueRo8erW9961v6+c////buPSjK6g8D+IPIgoaAq3nDDRMFuYgyI2Z4QUxwRk2QALELeUnNy0wSiko53hrJSSrwsrpTWOZtAwyUTM0LaqQN2mgoYAk5KKJ5YQU2Lgue3x/O7s8Nd9mG3NXl+fy355yXOeeZ87775d2XJU3v2NZc80wiiEwwceJEsXTpUlFTUyMqKipERESESExMFNeuXRMeHh4GjyssLBS+vr4iNzdX1NXViezsbDFo0CBRUVFhxtlbhoeHh7h27Vqz9lu3bonBgweL9PR0UVdXJ/Ly8oSfn5/47bffhBBCHD16VAwZMkScP39e1NbWiq1bt4rhw4cLtVpt7iU8FeRyuXjvvffEmTNnRHBwsMFxbSk3hUIhQkNDRUxMjFi4cKFeX0vn3Pbt20VwcLC4cuWKqK6uFqtXrxavvvqqePDggRBCiAULFojZs2eLu3fvips3b4opU6aINWvWmH2N/zVjmV24cEEMHDhQ/Pjjj0Kj0Yjc3Fzh4+Mj8vPzhRBCpKamiiVLlhj82UlJSSIiIkLcuHFDVFZWigULFog5c+Y80fWYi7HcMjMzxZtvvmnwWO615pn9k0ajERMmTBC5ublCCCGWLFkiUlNTDY631syEMFxn1NbWipEjR4oNGzYItVotLl68KIYOHSoOHTokhGj9Nc8UvLNMLaqqqoKvry/i4+Px3HPPoUePHpg8eTLOnj3b4rHp6ekICgpCUFAQ7O3tMWnSJHh4eDS7k9qW7N+/H3369EFkZCTs7e0RGBiIMWPGID09HQCgVCoRERGBQYMG2x7o+gAADBdJREFUwcHBAe+88w4A4Pjx45actkXcuHED27ZtQ0JCQotj21Ju9vb2yMjIgJubW7O+ls45pVKJadOmwd3dHY6OjoiLi0NJSQkuXLiAO3fu4MiRI4iLi4NUKkX37t0xb948ZGZmQqPRmHuZ/yljmalUKsyZMwdjx45F+/btERQUBA8PD5OucY2NjcjIyMC8efPQs2dPuLi4YOHChcjNzcWtW7eexFLMylhuLeFeazmzr7/+Gr169UJQUFCLY605M2N1Rm5uLjQaDebOnYuOHTvCx8cHUVFRUCqVAFp3zTMVi2VqkZOTE5KSktC1a1ddW0VFBbp166Z7nZCQgBEjRmDYsGFITk7WnbiXLl2Ct7e33s/z9vZGQUGBeSZvYcnJyRg9ejSGDBmC5cuXQ61WG8xE+8jAP/vbtWsHLy+vNpPZo1JSUvDaa6+hV69eAAC1Wq37mG7kyJHYtm0bhBAA2lZusbGx6NSp02P7jJ1zdXV1uHLlil6/o6Mj3NzcUFBQgKKiItja2sLT01PX7+Pjg7///hulpaVPZjFmYiyzUaNGYf78+brXjY2NuH37Nrp3765ru3z5MmJiYnSPTmk/5i0rK0N1dTV8fHx0Y93d3eHg4IBLly49odWYj7HcgIfvBdOnT0dAQABeeeUVZGdnAwD3mpHMtKqqqrBlyxYsXrxYr/3MmTMIDw+Hv78/IiMjde8N1pyZsTrj0qVL8PT0hK2tra7P2Humtt+Ua56pWCzTv1ZQUIAdO3Zg7ty5kEgk8Pf3R0hICI4fPw6FQoF9+/Zh8+bNAB7esXF2dtY73tnZ2aqe5zNk8ODBCAwMxOHDh6FUKnH+/HmsWrUKKpUKTk5OemNdXFx0mbTlzB51/fp1HD58GNOnTwfw8ALn4eGBt99+G6dOnUJSUhI2btyIzMxMAMxNy1gO9+/fhxDCYL9KpYKjoyNsbGz0+gC0qRzXr1+Pjh07Yvz48QCAHj16QCaTYd26dcjLy0NUVBTeffddlJaWQqVSAUCzc9rJycnqM5NKpejTpw8WL16MvLw8vP/++0hMTMTp06e510ywY8cOBAQEoH///ro2mUwGNzc3bN26FadOncKQIUMwY8aMNpfZo3WGofdMlUqFBw8etOqaZyoWy/SvnDt3DjNnzkR8fDwCAwPRrVs37NmzByEhIbCzs4Ofnx/mzJmDvXv36o7R3vlra5RKJaKioiCRSODu7o5FixYhJyfHpI/L2mpmj9q5cydCQ0Px/PPPA3h4B+Wbb77B0KFDIZFIMGLECMTExHCvPUZLORjrb8sZCiHwySefICcnB3K5HPb29gCAqKgopKamws3NDR06dMC0adPg5eWl9zhZW8xt9OjR+OKLL+Dt7Q2JRIIJEyYgJCTE5HOyLWam1dTUhJ07dyI2Nlavff78+Vi7di26d+8OR0dHLF68GBKJBEeOHAHQNjL7Z51hyKO/NLTmmmcKFstksmPHjmH27NlITExsdoI/ytXVFXfu3IEQAp07d9bdedFSqVSQSqVPerpPnd69e6OpqQnt2rVrlkllZaUuE2b20KFDhzBmzBijY1xdXfHXX38BYG5axnJwcXF57P5TqVTo0qULpFIpampq0NTUpNcHAF26dHnyk7egBw8eYOnSpTh27Bh2796Nvn37Gh2v3Xva/fXPTO/fv2/1mT2ONhfuNePy8/PR0NCg900Xj2Nra4uePXvq9pq1Z/a4OkMqlTa7C6xSqXR7rDXXPFOxWCaT/Prrr1iyZAlSUlIQHh6uaz99+jTkcrne2NLSUri6usLGxga+vr7Nvr6roKAAgwYNMsu8LaWwsBAff/yxXltJSQkkEgmCgoKaZXLx4kVdJr6+vnrPOjY1NaGwsNDqM3tUUVERysvLMXz4cF3bDz/8gF27dumNKy0thUwmA8DctIydc/b29ujfv79eTlVVVSgrK4Ofnx+8vLwghEBxcbHesU5OTnjxxRfNtgZLWLt2Lf744w/s3r1bt6e0Nm/ejNOnT+u1lZSUQCaTQSaTwdnZWS/T33//HQ0NDfD19TXL3C1l9+7dOHDggF6bNhfuNeOOHj2KYcOGoX379ro2IQSSkpL0MmloaEBZWRlkMpnVZ2aozvD19cXly5fR2Nioa3u0jmjNNc9ULJapRY2Njfjwww+xaNEijBgxQq+vU6dO2LRpE7Kzs6HRaFBQUIAvv/wSU6dOBQBER0fj559/Rm5uLurr65GRkYGrV69i0qRJlliK2XTp0gVKpRIKhQINDQ34888/kZKSgilTpiAsLAzl5eVIT09HfX09Tpw4gRMnTiA6OhoAMHXqVGRlZeH8+fOora2FXC6HRCLB6NGjLbsoMyosLISLiwscHR11bXZ2dli3bh1++uknaDQa5OXlITMzU7fXmNtDLZ1zU6dOxfbt21FSUoKamhqsX79e9x3CUqkU48aNw+eff4579+7h5s2b2LRpEyIjI/Xe1K3NuXPnsG/fPigUCri4uDTrV6lUWLVqFUpLS1FfX4+0tDSUlZVh8uTJsLW1RXR0NLZs2YKKigpUVlbi008/RUhIiN4fK1mjhoYGrFmzBgUFBdBoNMjJycHJkycRExMDgHvNmKKiIvTu3VuvzcbGBtevX8eqVatw69YtqNVqrF+/HnZ2dhg7dqxVZ2aszggKCoKjoyPkcjlqa2tx4cIFZGRkmFxnGNuHprIRbeEBGGqVs2fP4o033oBEImnWd/DgQRQWFmLjxo24evUqOnXqhLfeeguzZs1Cu3YPfxc7fPgwkpOTUV5ejn79+uGDDz5AQECAuZdhdvn5+UhOTsbly5chkUgwefJkxMXFwd7eHvn5+fjoo49QUlICV1dXxMfHIzQ0VHfsrl27oFAocPfuXQwcOBArV66Eh4eHBVdjXlu3bsX+/fuRk5Oj165UKpGWloaKigp07doVc+fORVRUlK6/reSmvchr77Ro3yi1f91t7JwTQmDDhg3Ys2cP1Go1XnrpJaxevRo9evQAAFRXV2PFihU4fvw47OzsMHHiRCxduvSx5/+zxFhmiYmJ+O6775oVHAEBAUhLS0N9fT2Sk5Nx8OBBqFQq9OvXD8uXL4e/vz+Ah0VjUlISvv/+ezQ2NiI4OBgrV6406RsRnnbGchNCQC6XIyMjA7dv30bv3r2RkJCA4OBgANxrhs5PABg3bhyio6Mxc+ZMvWNVKhXWrVuHkydPoqamBn5+fli5ciXc3d0BWG9mLdUZarUaK1aswMWLF9G1a1fMmjULr7/+um5Ma655pmCxTERERERkAB/DICIiIiIygMUyEREREZEBLJaJiIiIiAxgsUxEREREZACLZSIiIiIiA1gsExEREREZwGKZiIiIiMgAFstERG2AQqFAWFgY6urqAADLli2Dv78/4uPjLTwzIqKn27P9/xGJiKhFZ86cgVwuR1ZWFhwcHFBcXIy9e/ciNTVV958jd+zYgfHjx0MqlVp4tkRETxfeWSYismJCCCQlJSEyMhJubm4AgKqqKgBAv379YGNjg6qqKqxduxaVlZWWnCoR0VOJxTIRkZXw9PTEV199hfHjxyM8PBwAcOrUKRQXFyM2NhYAkJWVhRkzZgAAwsLCsGDBAgQGBqKpqQlhYWFISEiw2PyJiJ5GfAyDiMiKKJVKfPbZZ/D09AQAnDx5En379oVMJgMAhIeHo2fPnoiNjUV2djbc3d3xyy+/6L0mIqL/Y7FMRGRFhg8fjgEDBuheFxcXw9vb24IzIiJ6tvExDCIiK/LCCy/ovb537x46d+5sodkQET37WCwTEVkROzs7S0+BiMiqsFgmIrJiUqmU33JBRNQKLJaJiKzYgAEDUFRUZHRMhw4dAAClpaWorq42x7SIiJ4ZLJaJiKzYqFGjUFJSgvLycoNjvLy88PLLLyMuLg6LFi0y4+yIiJ5+NkIIYelJEBHRkyGEwKRJkxAYGIhly5ZZejpERM8c3lkmIrJiNjY2SExMxLfffouysjJLT4eI6JnDO8tERG2AQqHAgQMHsGfPHjg4OFh6OkREzwwWy0REREREBvAxDCIiIiIiA1gsExEREREZwGKZiIiIiMgAFstERERERAawWCYiIiIiMoDFMhERERGRASyWiYiIiIgMYLFMRERERGQAi2UiIiIiIgP+BxBEpsNwMaNMAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zJqhyRDN6gJP"
      },
      "source": [
        "# rw = 0.5 #ft \n",
        "# re = 2000 #ft\n",
        "\n",
        "# r = np.linspace(rw,re,1000)\n",
        "\n",
        "# Pe = 5000 \n",
        "\n",
        "# mu1 = 0.5 #cp \n",
        "# mu2 = 10 #cp \n",
        "\n",
        "# k = 1000 #mD \n",
        "# h = 50 #ft\n",
        "\n",
        "# q = 1000 #bbl/d\n",
        "\n",
        "# B = 1\n",
        "\n",
        "# m = (141.2*q*mu2*B/k/h)\n",
        "\n",
        "# Pr2 = Pe - m*(np.log(re/r))\n",
        "\n",
        "\n",
        "# plt.plot(r,Pr1)\n",
        "# plt.xlabel('r(ft') ; plt.ylabel('P(r), psi')\n",
        "\n",
        "# plt.xlim(rw,re)\n",
        "\n",
        "# plt.ylim(0,Pe)"
      ],
      "execution_count": 205,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "o8pUu3187O59"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}